{
  "abstract": "We consider a gradient, speed-change, symmetric exclusion process on the discrete torus $T^d_n$, $d\\le 3$, whose empirical measure evolves, on the diffusive scale, according to a non-linear parabolic equation. We prove that, starting from a sequence of initial states whose relative entropy with respect to the inhomogeneous product measure associated with the initial profile is $o(n^{d/2})$, and whose density fluctuation field converges, the density fluctuation field converges, in $L^1(0,T; H_{- r})$, to the solution of a linear stochastic partial differential equation with time-dependent coefficients driven by a conservative space-time white noise.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.37897",
  "author_total": 2,
  "authors": [
    {
      "name": "Claudio Landim"
    },
    {
      "name": "Sunder Sethuraman"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1shcpkc4pbmpk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.37897",
  "fulltext_url": null,
  "id": "1shcpkc4pbmpk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.37897",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "2610|Stochastic processes and statistical mechanics"
    ]
  ],
  "openalex": "W7214952457",
  "pdf_url": "https://arxiv.org/pdf/2609.37897",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1shcpkc4pbmpk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:31Z",
      "native_id": "2609.37897",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.37897"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Non-equilibrium fluctuations of gradient exclusion processes in dimension $d\\le 3$",
  "title_text": "Non-equilibrium fluctuations of gradient exclusion processes in dimension d≤ 3",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:35Z",
  "url": "https://research.draconitic.com/paper/1shcpkc4pbmpk",
  "venue": "arXiv",
  "versions": []
}